# Logarithm Rules, Tables, Formulas and Shortcuts

**Logarithm Solved Examples - Page 3**

** Logarithm Important Questions - Page 4**

** Logarithm Video Lecture - Page 5**

Logarithm, in mathematics is the exponent or power to which a stated number called base , is raised to yield a specific number. For example on the expression , the Logarithm of 100 to the base 10 is 2. This is written as Logarithms were originally invented to help simplify the arithmetical processes of multiplication, division, expansion to a power and extraction of a 'root', but they are now a days used for variety of purposes in pure and applied mathematics.

If for a positive real number (a ≠ 1) , , then the index m is called the Logarithm of b to the base a.

We write this as:

Log begins the abbreviation of the word ‘Logarithm’. Thus

Where = b is called the exponential form and is called the Logarithmic form.

**Exponential Form**

**Logarithmic Form
**